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A short proof of a symmetry identity for the $q$-Hahn distribution

   
@article{ECP3674,
	author = {Guillaume Barraquand},
	title = {A short proof of a symmetry identity for the $q$-Hahn distribution},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {q-Hahn process, Markov duality},
	abstract = {We give a short and elementary proof of a symmetry identity for the $q$-moments of the $q$-Hahn distribution arising in the study of the $q$-Hahn Boson process and the $q$-Hahn TASEP. This identity discovered by Corwin in "The q-Hahn Boson Process and q-Hahn TASEP", Int. Math. Res. Not., 2014, was a key technical step to prove an intertwining relation between the Markov transition matrices of these two classes of discrete-time Markov chains. This was used in turn to derive exact formulas for a large class of observables of both these processes.},
	pages = {no. 50, 1-3},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3674},    
        url = {http://ecp.ejpecp.org/article/view/3674}}